Characterizations of and -left derivable mappings on some algebras
Characterizations of and -left derivable mappings on some algebras
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一些代数上的左导映射的表征
DOI：
10.1007/s43034-019-00047-8
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发表时间：
2020
影响因子：
1
通讯作者：
Li Jiankui
中科院分区：
文献类型：
--
作者：
An Guangyu;He Jun;Li Jiankui
从A -代数元到A -双模的线性映射是对每个A，Binwith的A -可导映射。我们证明了从（一元代数）因子von Neumann代数到它的banach -双模的每一个（连续）可导映射atg是a-导当且仅当它是左分离点。从A -代数脑到A -左模的线性映射是每个A，Binwith的A -左可导映射。在一定条件下，证明了从一元代数或von Neumann代数到其banach -左模的每一个左连续可导映射在左分离点上都是同零的。
A linear mappingfrom a-algebrainto a--bimoduleis a-derivable mapping atiffor eachA,Binwith. We prove that every (continuous)-derivable mapping atGfrom a (unital-algebra) factor von Neumann algebra into its Banach-bimodule is a-derivation if and only ifGis a left separating point. A linear mappingfrom a-algebrainto a-left-moduleis a-left derivable mapping atiffor eachA,Binwith. We prove that every continuous-left derivable mapping at a left separating point from a unital-algebra or von Neumann algebra into its Banach-left-module is identical with zero under certain conditions.